Positive Solution for the Nonlinear Hadamard Type Fractional Differential Equation with p-Laplacian
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We study the following nonlinear fractional differential equation involving the p-Laplacian operator DβφpDαut=ft,ut, 1 Dα denotes the standard Hadamard fractional derivative of the order α, the constant p>1, and the p-Laplacian operator φps=sp-2s. We show some results about the existence and the uniqueness of the positive solution by using fixed point theorems and the properties of Green's function and the p-Laplacian operator.
American Psychological Association (APA)
Li, Ya-ling& Lin, Shi-you. 2013. Positive Solution for the Nonlinear Hadamard Type Fractional Differential Equation with p-Laplacian. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1006358
Modern Language Association (MLA)
Li, Ya-ling& Lin, Shi-you. Positive Solution for the Nonlinear Hadamard Type Fractional Differential Equation with p-Laplacian. Journal of Function Spaces No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1006358
American Medical Association (AMA)
Li, Ya-ling& Lin, Shi-you. Positive Solution for the Nonlinear Hadamard Type Fractional Differential Equation with p-Laplacian. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1006358
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006358